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Finding the Fourth Proportional to 80,349.64, 120,541.27 and 30,428.60

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Solution

The fourth proportional to 80,349.64, 120,541.27 and 30,428.60 is: 45,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,349.64 : 120,541.27 = 30,428.60 : x
  2. Step 2: Convert to fraction form
    80,349.64/120,541.27 = 30,428.60/x
  3. Step 3: Cross multiply
    80,349.64x = 120,541.27 × 30,428.60
  4. Step 4: Simplify right side
    80,349.64x = 3,667,902,088.32
  5. Step 5: Solve for x
    x = 3,667,902,088.32/80,349.64
  6. Step 6: Final answer
    x = 45,649.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.